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Finding the Fourth Proportional to 7,506.90, 10,358.69 and 4,148.87

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Solution

The fourth proportional to 7,506.90, 10,358.69 and 4,148.87 is: 5,724.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,506.90 : 10,358.69 = 4,148.87 : x
  2. Step 2: Convert to fraction form
    7,506.90/10,358.69 = 4,148.87/x
  3. Step 3: Cross multiply
    7,506.90x = 10,358.69 × 4,148.87
  4. Step 4: Simplify right side
    7,506.90x = 42,976,785.64
  5. Step 5: Solve for x
    x = 42,976,785.64/7,506.90
  6. Step 6: Final answer
    x = 5,724.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.